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Finding the Third Proportional to 276,442 and 580,730

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Solution

The third proportional to 276,442 and 580,730 is: 1,219,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,442 : 580,730 = 580,730 : x
  2. Step 2: Convert to fraction form
    276,442/580,730 = 580,730/x
  3. Step 3: Cross multiply
    276,442x = 580,730 × 580,730
  4. Step 4: Simplify right side
    276,442x = 337,247,332,900
  5. Step 5: Solve for x
    x = 337,247,332,900/276,442
  6. Step 6: Final answer
    x = 1,219,956.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.